Pith Number

pith:ZSLOH4CS

pith:2018:ZSLOH4CSKGBSE5JNWCEAD3S2FH

not attested not anchored not stored refs pending

An extension of Muchenhoupt-Wheeden theorem to generalized weighted (central) Morrey spaces

Abdulhamit Kucukaslan, Rza Mustafayev

arxiv:1806.11367 v1 · 2018-06-29 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSLOH4CSKGBSE5JNWCEAD3S2FH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:12:02.113017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc96e3f052518322752db08801ee5a29d47bb40ece592ad24ea5713919c799a4

Aliases

arxiv: 1806.11367 · arxiv_version: 1806.11367v1 · doi: 10.48550/arxiv.1806.11367 · pith_short_12: ZSLOH4CSKGBS · pith_short_16: ZSLOH4CSKGBSE5JN · pith_short_8: ZSLOH4CS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZSLOH4CSKGBSE5JNWCEAD3S2FH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cc96e3f052518322752db08801ee5a29d47bb40ece592ad24ea5713919c799a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98e9b78c4a02f91d078cb7f6d12a0e9e885eee27c8b900e80f4d8fe1c4a51c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-29T11:53:53Z",
    "title_canon_sha256": "498776d915866eeeca403220a3ccb5f5a06b062f78775c52c569e3a12953ea86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11367",
    "kind": "arxiv",
    "version": 1
  }
}